<center><p><h1>Centipede Game</h1></p></center>
You an a randomly chosen co-player are sitting at a virtual table
facing each other. Next to one of the two players, there are two
stacks of money on the table, one smaller than the other. You have a
maximum of ten rounds to play. You can either take the larger stack
and leave the smaller to your co-player - this ends the game. Or else,
you can push both stacks to your co-players side. In this case, both
stacks increase by one Dollor. It is now the other player who can leave
with the larger stack, or push both stacks back towards you (in which
case both stacks increase again by one Euro each). The stacks can
cross the line at most ten times. At the start, one stack is three,
the other one Euro. They increase by one Euro each time they cross
mid-table, so that after all ten crossings, one stack contains 13 Euro
and the other one 11.